Elements of Geometry: Being Chiefly a Selection from Playfair's GeometryA. Walker, 1829 - 186 Seiten |
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Seite 18
... figure is that which is enclosed by one or more boun- daries . 18. If a finite straight line be supposed to revolve in the same plane , about one of its extremities , which is fixed , until it arrive at the place from which it began to ...
... figure is that which is enclosed by one or more boun- daries . 18. If a finite straight line be supposed to revolve in the same plane , about one of its extremities , which is fixed , until it arrive at the place from which it began to ...
Seite 19
... figures by four straight lines . 26. Multilateral figures , or polygons , by more than four straight lines . 27. Of three - sided figures , an equilateral triangle is that which has three equal sides . 28. An isosceles triangle is that ...
... figures by four straight lines . 26. Multilateral figures , or polygons , by more than four straight lines . 27. Of three - sided figures , an equilateral triangle is that which has three equal sides . 28. An isosceles triangle is that ...
Seite 20
... figure is the straight line drawn from its vertex perpendicular to the base . 40. That part of Geometry which treats of the measure- ment and position of plane figures , of straight lines , and of rectilineal angles , is called Plane ...
... figure is the straight line drawn from its vertex perpendicular to the base . 40. That part of Geometry which treats of the measure- ment and position of plane figures , of straight lines , and of rectilineal angles , is called Plane ...
Seite 21
... figure whatever be constituted on one of them , a figure exactly sim- ilar to it may be constituted on the other . AXIOMS . 1. THINGS which are equal to the same thing are equal to one another . Also things which are equal to equal ...
... figure whatever be constituted on one of them , a figure exactly sim- ilar to it may be constituted on the other . AXIOMS . 1. THINGS which are equal to the same thing are equal to one another . Also things which are equal to equal ...
Seite 28
... ( figure to Cor . Prop . V ) ; then because the angle B is equal to C , the side AC is equal to AB ; and because the angle A is equal to C , the side BC is equal to AB . Hence each of the sides AC and BC is equal to AB ; therefore they ...
... ( figure to Cor . Prop . V ) ; then because the angle B is equal to C , the side AC is equal to AB ; and because the angle A is equal to C , the side BC is equal to AB . Hence each of the sides AC and BC is equal to AB ; therefore they ...
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Elements of Geometry: Being Chiefly a Selection From Playfair's Geometry John Playfair Keine Leseprobe verfügbar - 2023 |
Elements of Geometry: Being Chiefly a Selection From Playfair's Geometry John Playfair Keine Leseprobe verfügbar - 2023 |
Häufige Begriffe und Wortgruppen
ABC is equal ABCD alternate angles angle ABC angle ACB angle BAC angles AGH angles equal base ABC bases and altitudes bisect centre chord circumference cone Consequently cylinder demonstrations described diagonals diameter divided draw equal angles equal arches equal bases equal circles equal to AC equiangular Euclid's Euclid's Elements exterior angle fore four quantities four right angles geometry given point given straight line gles greater Hence homologous sides intersect KLMN Let ABC meet opposite angles opposite side paral parallel lines parallel to CD parallelogram parallelopipeds perp perpendicular plane polygon prism Prop pyramid Q. E. D. COR Q. E. D. PROPOSITION radius rectangle contained right angled triangle Scholium segments semicircle side AC similar similar triangles solid square straight line &c subtended tangent THEOREM triangle ABC vertex wherefore
Beliebte Passagen
Seite 36 - Any two sides of a triangle are together greater than the third side.
Seite 80 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Seite 42 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line...
Seite 30 - To bisect a given finite straight line, that is, to divide it into two equal parts. Let AB be the given straight line : it is required to divide it intotwo equal parts.
Seite 20 - LET it be granted that a straight line may be drawn from any one point to any other point.
Seite 38 - Problem. At a given point in a given straight line to make a rectilineal angle equal to a given rectilineal angle.
Seite 113 - Wherefore also the angle BAD is equal to the angle CAD : Therefore the angle BAC is cut into two equal angles by the straight line AD.
Seite 24 - DE ; the point B shall coincide with the point E, because AB is equal to DE; and AB coinciding with DE, AC shall coincide...
Seite 36 - The greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it.